Miguel Turullols, Laura deSantos, HelidaSesma Sara, MikelBedregal, BenjaminJurío Munárriz, AránzazuBustince Sola, Humberto2017-09-012017-09-012017L. De Miguel et al., "Type-2 fuzzy entropy sets," in IEEE Transactions on Fuzzy Systems, vol. 25, no. 4, pp. 993-1005, Aug. 2017. doi: 10.1109/TFUZZ.2016.25934971063-6706 IPrint)1941-0034 (Electronic)10.1109/TFUZZ.2016.2593497https://academica-e.unavarra.es/handle/2454/25494The final goal of this study is to adapt the concept of fuzzy entropy of De Luca and Termini to deal with Type-2 Fuzzy Sets. We denote this concept Type-2 Fuzzy Entropy-Set. However, the construction of the notion of entropy measure on an infinite set, such us [0, 1], is not effortless. For this reason, we first introduce the concept of quasi-entropy of a Fuzzy Set on the universe [0, 1]. Furthermore, whenever the membership function of the considered Fuzzy Set in the universe [0, 1] is continuous, we prove that the quasi-entropy of that set is a fuzzy entropy in the sense of De Luca y Termini. Finally, we present an illustrative example where we use Type-2 Fuzzy Entropy-Sets instead of fuzzy entropies in a classical fuzzy algorithm.application/pdfeng© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Type-2 fuzzy setsQuasi-entropy measureEntropy measureinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess